Question

 1242) y=A x ln(x) + B x + F is the particular solution of the second-order linear DEQ: xy'' =5 where y'=8 at the point (5,9). Determine A,B,F. y=A x ln(x) + B x + F is also called an explicit solution. Is the DEQ : separable= yes or no? exact= yes or no? 

 1st-order linear= yes or no? Bernouli= yes or no? 

please show all work